Semi-analytical method for the free vibration characteristics analysis of cylindrical shells

被引:0
|
作者
Li H. [1 ]
Pang F. [1 ]
Tian H. [1 ]
Liu J. [1 ]
机构
[1] College of Shipbuilding Engineering, Harbin Engineering University, Harbin
来源
关键词
Cylindrical shell; Free vibration; General boundary conditions; Semi-analytic method;
D O I
10.13465/j.cnki.jvs.2019.22.004
中图分类号
学科分类号
摘要
Based on the Reissner-Naghdi's linear thin shell theory and regional energy decomposition method, a cylindrical shell was decomposed into several shell segments along the circumferential direction. The Chebyshev determinant and Fourier series were used to express the displacement function of the shell segment. The least squares residuals were introduced to eliminate the instability of the calculation, and boundary condition parameters were established to simulate different boundary conditions. The vibration modal of the cylindrical shell was obtained by virtue of the variational principle. On this basis, the convergence of the weighted least squares parameters was analyzed, and a large number of finite element simulation calculations verified the effectiveness of the proposed method.Finally, the free vibration characteristics of cylindrical shells under general boundary conditions were analyzed. The research results provide data accumulation and method basis for the free vibration analysis of cylindrical shells under general boundary conditions. © 2019, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码:21 / 28
页数:7
相关论文
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  • [1] Rayleigh J., The Theory of Sound, (1945)
  • [2] Galletly G.D., Mistry J., The free vibrations of cylindrical shells with various end closures, Nuclear Engineering and Design, 30, 2, pp. 249-268, (1974)
  • [3] Cheng L., Nicholas J., Free vibration analysis of a cylindrical shell-circular plate system with 6 general coupling and various boundary conditions, Journal of Sound and Vibration, 155, 2, pp. 231-247, (1992)
  • [4] Luo D., Zhang Y., Analysis of vibration characteristics of circular rib reinforced cylindrical shells, Shipbuilding of China, 104, 1, pp. 64-74, (1989)
  • [5] Yu Y.Y., Free vibrations of thin cylindrical shells having finite lengths with freely supported and clamped edges, Journal of Applied Mechanics, 22, pp. 547-552, (1955)
  • [6] Wang Y., Luo Z., Forced vibration response characteristics of thin cylindrical shell, Journal of Vibration and Shock, 34, 7, pp. 103-108, (2015)
  • [7] Wang Z., Li X., Huang L., Vibration characteristics of orthotropic circular cylindrical shells based on wave propagation approach and multi-variate analysis, Journal of Vibration and Shock, 37, 7, pp. 227-232, (2018)
  • [8] Xiang Y., Sun R., Lu J., Et al., Semi-analytical method for solving the dynamic behaviors of a fluid-saturated porous cylindrical shell, Journal of Vibration and Shock, 37, 1, pp. 208-215, (2018)
  • [9] Li H., Pang F., Miao X., Et al., A semi-analytical method for vibration analysis of stepped doubly-curved shells of revolution with arbitrary boundary conditions, Thin-Waller Structures, 129, pp. 125-144, (2018)
  • [10] Pang F., Wu C., Wang X., Et al., Improved precise transfer matrix method for acoustic radiation of ring-stiffened cylindrical shell, Journal of Vibration and Shock, 36, 22, pp. 131-137, (2017)